Question

The dimensional formula of physical quantity is $M^a{L}^b{T}^c$. Then that physical quantity is

• A. Surface tension if $a=1,b=1,c=-2$
• B. Force if $a=1,b=1,c=2$
• C. Angular frequency if $a=0,b=0,c=-1$
• D. Spring constant if $a=1,b=-1,c=-2$

Answer 1

Answer: (C)

Angular frequency if $a=0,b=0,c=-1$

The dimensional formula of a quantity, $Q=\left[M^a{L}^b{T}^c\right]$

For option C : $a=0$ $b=0$ $c=-1$

The dimensions of that quantity $Q=\left[T^{-1}\right]$

Angular frequency $w=2\pi \nu$

Hence the physical quantity is angular frequency as angular frequency has dimensions of $\left[T^{-1}\right]$.